The full automorphism groups of hyperelliptic Riemann surfaces

1993 ◽  
Vol 79 (1) ◽  
pp. 267-282 ◽  
Author(s):  
E. Bujalance ◽  
J. M. Gamboa ◽  
G. Gromadzki
Keyword(s):  
Riemann Surfaces ◽  
Automorphism Groups ◽  
Hyperelliptic Riemann Surfaces

scholarly journals Automorphism groups of hyperelliptic Riemann surfaces

1987 ◽  
Vol 10 (2) ◽  
pp. 174-181 ◽  
Author(s):  
E. Bujalance ◽  
J. J. Etayo ◽  
E. Martínez
Keyword(s):  
Riemann Surfaces ◽  
Automorphism Groups ◽  
Hyperelliptic Riemann Surfaces

Automorphism groups of non-orientable Riemann surfaces

2015 ◽  
pp. 183-193
Author(s):  
E. Bujalance ◽  
F.J. Cirre ◽  
J.J. Etayo ◽  
G. Gromadzki ◽  
E. Martínez
Keyword(s):  
Riemann Surfaces ◽  
Automorphism Groups

scholarly journals A remark on the η-invariant for automorphisms of hyperelliptic Riemann surfaces

2000 ◽  
Vol 62 (2) ◽  
pp. 177-182 ◽  
Author(s):  
Takayuki Morifuji
Keyword(s):  
Finite Order ◽  
Riemann Surfaces ◽  
Prime Order ◽  
Mapping Torus ◽  
Hyperelliptic Riemann Surfaces ◽  
Order Surface

We give a characterisation for the vanishing of the η-invariant of prime order automorphisms of hyperelliptic Riemann surfaces through the mapping torus construction. To this end, we introduce a notion of s-symmetry for finite order surface automorphisms.

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